Constructing quasi-cyclic codes from linear algebra theory
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Publication:1936500
DOI10.1007/s10623-011-9586-xzbMath1259.94066OpenAlexW1994507438MaRDI QIDQ1936500
Publication date: 5 February 2013
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-011-9586-x
invariant subspacecyclic codefinite chain ringquasi-cyclic codepolynomial ring over matrix ringreversible polynomial
Endomorphism rings; matrix rings (16S50) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Cyclic codes (94B15)
Related Items (10)
1-generator two-dimensional quasi-cyclic codes over $\mathbb{Z}_4[u/\langle u^2-1\rangle$] ⋮ Optimal binary codes and binary construction of quantum codes ⋮ Bounds on quasi-cyclic codes over finite chain rings ⋮ Dual of codes over finite quotients of polynomial rings ⋮ On the algebraic structure of quasi-cyclic codes of index \(1\frac{1}{2} \) ⋮ New binary quantum stabilizer codes from the binary extremal self-dual \([48,24,12\) code] ⋮ Quasi-cyclic codes of index 2 and skew polynomial rings over finite fields ⋮ Binary construction of pure additive quantum codes with distance five or six ⋮ A class of 1-generator quasi-cyclic codes over finite chain rings ⋮ On generator and parity-check polynomial matrices of generalized quasi-cyclic codes
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